Description of fast matrix multiplication algorithm: ⟨7×12×15:815⟩

Algorithm type

4 X^{4} Y^{8} Z^{4} + 4 X^{4} Y^{8} Z^{3} + 3 X^{2} Y^{8} Z^{3} + 22 X^{4} Y^{4} Z^{4} + 11 X^{2} Y^{8} Z^{2} + 22 X^{4} Y^{4} Z^{3} + 2 X^{2} Y^{8} Z + 5 X^{2} Y^{6} Z^{3} + 4 X^{2} Y^{4} Z^{5} + 21 X^{2} Y^{6} Z^{2} + 4 X^{2} Y^{4} Z^{4} + 2 X^{2} Y^{3} Z^{5} + 6 X^{2} Y^{6} Z + 7 X^{2} Y^{4} Z^{3} + 26 X^{2} Y^{2} Z^{5} + 17 X^{2} Y^{4} Z^{2} + 4 X^{2} Y^{3} Z^{3} + 30 X^{2} Y^{2} Z^{4} + 2 X^{2} Y Z^{5} + 13 X Y^{4} Z^{3} + 2 X Y^{2} Z^{5} + 4 X^{3} Y^{2} Z^{2} + 6 X^{3} Y Z^{3} + 2 X^{2} Y^{4} Z + 55 X^{2} Y^{2} Z^{3} + 2 X^{2} Y Z^{4} + 15 X Y^{4} Z^{2} + 29 X Y^{3} Z^{3} + 2 X Y^{2} Z^{4} + 8 X Y Z^{5} + 5 X^{3} Y^{2} Z + 8 X^{3} Y Z^{2} + 100 X^{2} Y^{2} Z^{2} + 2 X^{2} Y Z^{3} + 14 X Y^{4} Z + 28 X Y^{3} Z^{2} + 20 X Y^{2} Z^{3} + 8 X Y Z^{4} + 4 X^{3} Y Z + 14 X^{2} Y^{2} Z + 30 X Y^{3} Z + 25 X Y^{2} Z^{2} + 63 X Y Z^{3} + 23 X Y^{2} Z + 77 X Y Z^{2} + 60 X Y Z

Algorithm definition

The algorithm ⟨7×12×15:815⟩ is taken from:

Andrew I. Perminov. FastMatrixMultiplication, GitHub, February 2026. [ GitHub repository ]

Algorithm description

These encodings are given in compressed text format using the maple computer algebra system. In each cases, the last line could be understood as a description of the encoding with respect to classical matrix multiplication algorithm. As these outputs are structured, one can construct easily a parser to its favorite format using the maple documentation without this software.

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